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March 27, 2017

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A 5.2 m wire with a mass of 86 g is attached to the mast of a sailboat. If the wire is given a "thunk" at one end, it takes 0.085 s for the resulting wave to reach the other end.

Part A
What is the tension in the wire?

Would the tension found in part A be larger or smaller if the mass of the wire is greater than 86 g?

  • physics - ,

    A. Wave speed = 61.2 m/s = v
    = sqrt(T/d)
    where d is the mass per unit length of the wire. In this case, d = 0.0165 kg/m

    T = d*v^2 = 61.8 kg m/s^2 (also known as newtons)

    B. T must increase if the mass of the wire increases and v stays the same.

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